Ground and excited states of the bipolaron in two and three dimensions

Details Ground and excited states of the bipolaron in two and three dimensions Ground and excited states of the bipolaron in two and three dimensions

2005-09-09

arxiv.org/abs/cond-mat/0509233v1

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, 5 figures (including 8 parts)

Scientific paper

The properties of large bipolarons in two and three dimensions are investigated by averaging over the relative wavefunction of the two electrons and using the Lee-Low-Pines-Huybrechts variational method. We obtain the ground-state (GS) and excited-state energies of the Fr\"{o}hlich bipolaron for the whole range of electron-phonon coupling constants. Furthermore, we calculate the energies of the first relaxed excited state (RES) and Franck-Condon (FC) excited state of the bipolaron. Compared with the FC state, the first RES has a lower energy. Our results for the GS and RES energies are lower than those obtained before by the Landau-Pekar method in the whole coupling regime.

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